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Simplifying 4n(5n + -7n + -3) = 0 Reorder the terms: 4n(-3 + 5n + -7n) = 0 Combine like terms: 5n + -7n = -2n 4n(-3 + -2n) = 0 (-3 * 4n + -2n * 4n) = 0 (-12n + -8n2) = 0 Solving -12n + -8n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-4n'. -4n(3 + 2n) = 0 Ignore the factor -4.Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(3 + 2n)' equal to zero and attempt to solve: Simplifying 3 + 2n = 0 Solving 3 + 2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2n = 0 + -3 2n = 0 + -3 Combine like terms: 0 + -3 = -3 2n = -3 Divide each side by '2'. n = -1.5 Simplifying n = -1.5Solution
n = {0, -1.5}
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